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218131031984 = 2444940497499
BaseRepresentation
bin1100101100100110011…
…1110110011110110000
3202212000221000112121112
43023021213312132300
512033213021010414
6244112533012452
721521330115365
oct3131147663660
9685027015545
10218131031984
118456630a958
1236337784128
1317753739b78
14a7b409a46c
155a1a0b1d3e
hex32c99f67b0

218131031984 has 40 divisors (see below), whose sum is σ = 423731250000. Its totient is φ = 108781223936.

The previous prime is 218131031983. The next prime is 218131032013. The reversal of 218131031984 is 489130131812.

It is a super-2 number, since 2×2181310319842 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (218131031983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29084267 + ... + 29091765.

It is an arithmetic number, because the mean of its divisors is an integer number (10593281250).

Almost surely, 2218131031984 is an apocalyptic number.

It is an amenable number.

218131031984 is a deficient number, since it is larger than the sum of its proper divisors (205600218016).

218131031984 is a wasteful number, since it uses less digits than its factorization.

218131031984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12005 (or 11999 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

Adding to 218131031984 its sum of digits (41), we get a square (218131032025 = 4670452).

The spelling of 218131031984 in words is "two hundred eighteen billion, one hundred thirty-one million, thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 449 898 1796 3592 4049 7184 7499 8098 14998 16196 29996 32392 59992 64784 119984 1818001 3367051 3636002 6734102 7272004 13468204 14544008 26936408 29088016 30363451 53872816 60726902 121453804 242907608 485815216 13633189499 27266378998 54532757996 109065515992 218131031984